Question

NEED HELP ASAP!!!! Simplify the expression. sin^2 Ф/csc Ф tan^2 Ф

A. sin^2 Ф

B. sin Ф cos^2 Ф

C. sec^2 Ф

D. csc Ф

Answer 1

Option B: sin Ф cos² Ф

Explanation:

Given expression:

`(sin^2 \phi)/(csc \ \phi \ * tan^2 \ \phi) = (sin^2 \phi)/((1)/(sin \ \phi)*(sin^2 \phi)/(cos^2 \phi)  ) = sin \ \phi * cos^2 \ \phi`

Note:

csc Ф = 1/sin Ф

tan Ф = (sin Ф)/(cos Ф)